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Algebraic elements in matrix ring over division algebras*

Published online by Cambridge University Press:  24 October 2008

A. I. Lichtman
A. I. Lichtman
Affiliation:
Department of Mathematics, University of Wisconsin-Parkside, Kenosha, WI 53141, U.S.A.
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Extract

Let K be an arbitrary field, G a polycyclic-by-finite group and A a prime ideal of the group ring KG. It is well known that the quotient ring (KG)/A is a Goldie ring; we denote by R its ring of fractions. Let U be a subgroup of units of the matrix ring Rn×n let K[U] be the linear envelope of U and let rad (K[U]) be the nilpotent radical of K [U].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 2 , September 1995 , pp. 215 - 221
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

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